Results 31 to 40 of about 26,735 (243)
Affine Volterra processes [PDF]
, 2019 We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are neither semimartingales, nor ...
Jaber, Eduardo Abi +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration
Nihan Güngör
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Numerical Solution of Locally Loaded Volterra Integral Equations
ComputationLoaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin +3 more
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Mathematical Modelling and Analysis, 2017 We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
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Some weakly singular Volterra integral inequalities with maxima in two variables
Journal of Inequalities and Applications, 2023 In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations
Mathematical Biosciences and Engineering, 2022 In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
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On a nonlinear Volterra integral equation
Journal of Differential Equations, 1973 Also note the comments. made on (1.1) in [2]. More recently Eq. (1.1) has been analyzed in [I and 31 under hypotheses related to those of Theorem I. Comparing the present result with the results of [3] we observe the following. In addition to the full hypothesis of Theorem 1 above, certain smoothness conditions were imposed on a(t) and f(i) in [3 ...
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AIMS Mathematics, 2023 We consider the terminal state-constrained optimal control problem for Volterra integral equations with singular kernels. A singular kernel introduces abnormal behavior of the state trajectory with respect to the parameter of $ \alpha \in (0, 1) $.
Jun Moon
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An Engineered Probiotic Consortium Based on Quorum‐Sensing for Colorectal Cancer Immunotherapy
Advanced Science, EarlyView.This work develops an engineered probiotic consortium sensing pH, hypoxia, and lactate in the tumor microenvironment. It releases a lactate‐depleting enzyme (LdhA) and a PD‐L1 nanobody. In humanized mouse models (MC38 and HT‐29 tumors), it achieves durable oscillations, suppresses tumors, activates CD8+, CD4+, IFN‐γ+ T cells, and reduces Foxp3 ...
Yufei Guo +11 more
wiley +1 more source